Topology identification of autonomous quantum dynamical networks

Abstract

Topology identification comprises reconstructing the interaction Hamiltonian of a quantum network by properly processing measurements of its density operator within a fixed time interval. It finds application in several quantum technology contexts, ranging from quantum communication to quantum computing or sensing. In this paper, we provide analytical conditions for the solvability of the topology identification problem for autonomous quantum dynamical networks. The solvability condition is then converted in an algorithm for quantum network reconstruction that is easily implementable on standard computer facilities. The obtained algorithm is tested for Hamiltonian reconstruction on numerical examples based on the quantum walks formalism.

arXiv comment12 pages, 2 figures; v2: misprints corrected and presentation of the results improved with respect to v1

References in corpus (29)

• Supplementary information for "Quantum supremacy using a programmable superconducting processor"
• Random graphs with arbitrary degree distributions and their applications
• Long-distance quantum communication with atomic ensembles and linear optics
• Quantum state transfer and entanglement distribution among distant nodes in a quantum network
• Quantum random walks - an introductory overview
• Quantum walks: a comprehensive review
• Quantum transport simulations in a programmable nanophotonic processor
• Quantum Internet: Networking Challenges in Distributed Quantum Computing
• Spectral signatures of many-body localization with interacting photons
• Observation of topological phenomena in a programmable lattice of 1,800 qubits
• Modeling and Control of Quantum Systems: An Introduction
• Long-Distance Quantum Communication with Entangled Photons using Satellites
• Overcoming Noise in Entanglement Distribution
• Learning a local Hamiltonian from local measurements
• Procedures for Converting among Lindblad, Kraus and Matrix Representations of Quantum Dynamical Semigroups
• Quantum Simulation of Generic Many-Body Open System Dynamics Using Classical Noise
• Quantum Hamiltonian identification from measurement time traces
• Fast Escape from Quantum Mazes in Integrated Photonics
• Quantum scars of bosons with correlated hopping
• Hamiltonian identifiability assisted by single-probe measurement
• Observation of noise-assisted transport in an all-optical cavity-based network
• Reaching a Quantum Consensus: Master Equations that Generate Symmetrization and Synchronization
• Consensus for Quantum Networks: From Symmetry to Gossip Iterations
• Scalable reconstruction of unitary processes and Hamiltonians
• Quantum Hamiltonian Identifiability via a Similarity Transformation Approach and Beyond
• Compressed sensing for Hamiltonian reconstruction
• One-way quantum computing in a decoherence-free subspace
• Disorder and dephasing as control knobs for light transport in optical fiber cavity networks
• Gradient-based reconstruction of molecular Hamiltonians and density matrices from time-dependent quantum observables